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133110200 = 235219231523
BaseRepresentation
bin1111110111100…
…01100110111000
3100021110200212102
413323301212320
5233034011300
621113002532
73204263246
oct773614670
9307420772
10133110200
1169156733
12386b3448
1321767342
141396d796
15ba450d5
hex7ef19b8

133110200 has 96 divisors (see below), whose sum is σ = 340156800. Its totient is φ = 48216960.

The previous prime is 133110199. The next prime is 133110209. The reversal of 133110200 is 2011331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133110209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86639 + ... + 88161.

It is an arithmetic number, because the mean of its divisors is an integer number (3543300).

Almost surely, 2133110200 is an apocalyptic number.

133110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170078400).

133110200 is an abundant number, since it is smaller than the sum of its proper divisors (207046600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133110200 is a wasteful number, since it uses less digits than its factorization.

133110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 133110200 is about 11537.3393813305. The cubic root of 133110200 is about 510.5878138453.

Adding to 133110200 its reverse (2011331), we get a palindrome (135121531).

The spelling of 133110200 in words is "one hundred thirty-three million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 23 25 38 40 46 50 76 92 95 100 115 152 184 190 200 230 380 437 460 475 575 760 874 920 950 1150 1523 1748 1900 2185 2300 3046 3496 3800 4370 4600 6092 7615 8740 10925 12184 15230 17480 21850 28937 30460 35029 38075 43700 57874 60920 70058 76150 87400 115748 140116 144685 152300 175145 231496 280232 289370 304600 350290 578740 665551 700580 723425 875725 1157480 1331102 1401160 1446850 1751450 2662204 2893700 3327755 3502900 5324408 5787400 6655510 7005800 13311020 16638775 26622040 33277550 66555100 133110200